A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations

LIU You-qiong; FENG Jian-hu; REN Jiong; GONG Cheng-qi

doi:10.3879/j.issn.1000-0887.2014.05.008

Volume 35 Issue 5

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LIU You-qiong, FENG Jian-hu, REN Jiong, GONG Cheng-qi. A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations[J]. Applied Mathematics and Mechanics, 2014, 35(5): 542-553. doi: 10.3879/j.issn.1000-0887.2014.05.008

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A Second-Order Rotated-Hybrid Scheme for Solving Multi-Dimensional Compressible Euler Equations

doi: 10.3879/j.issn.1000-0887.2014.05.008

School of Sciences, Chang’an University, Xi’an 710064, P.R.China

Funds: The National Natural Science Foundation of China（11171043）

Received Date: 2013-06-08
Rev Recd Date: 2014-04-03
Publish Date: 2014-05-15

Abstract

Abstract

A second-order Euler flux function based on the rotated Riemann solver approach was presented. This scheme was different from the grid-aligned finite-volume method or the finite-difference method based on dimensional splitting. It was a hybrid numerical scheme developed through particular combination of the HLLC scheme and HLL scheme. The HLL scheme was applied in the direction normal to shock waves to suppress the carbuncle phenomenon and the HLLC scheme was applied across shear layers to avoid excessive numerical dissipation. Numerical experiments show that the new rotated-hybrid scheme is extremely simple, carbuncle-free and highly efficient.
- numerical shock wave instability,
- Euler equation,
- carbuncle-free,
- rotated-hybrid scheme

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References(20)

References

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